316242000 has 120 divisors (see below), whose sum is σ = 1104590760. Its totient is φ = 84326400.

The previous prime is 316241999. The next prime is 316242001. The reversal of 316242000 is 242613.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (316241999) and next prime (316242001).

It can be written as a sum of positive squares in 4 ways, for example, as 82519056 + 233722944 = 9084^2 + 15288^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316242001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9216 + ... + 26784.

It is an arithmetic number, because the mean of its divisors is an integer number (9204923).

Almost surely, 2^316242000 is an apocalyptic number.

316242000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552295380).

316242000 is an abundant number, since it is smaller than the sum of its proper divisors (788348760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

316242000 is a wasteful number, since it uses less digits than its factorization.

316242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17598 (or 17579 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 316242000 is about 17783.1943137334. The cubic root of 316242000 is about 681.3022909670.

Adding to 316242000 its reverse (242613), we get a palindrome (316484613).

The spelling of 316242000 in words is "three hundred sixteen million, two hundred forty-two thousand".